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Match quadrilaterals to their definitions and compare rectangles and squares.

Worksheet titled "Quadrilaterals" with a matching exercise to identify shapes based on definitions and a question comparing rectangles and squares.

Worksheet titled "Quadrilaterals" with a matching exercise to identify shapes based on definitions and a question comparing rectangles and squares.

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Show Answer Key & Explanations Step-by-step solution for: Identify the Type For Quadrilateral - Quadrilaterals and Polygons
Let’s go step by step to match each definition with the correct quadrilateral.

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1. All sides are the same length. There are four right angles.

→ This describes a square.
A square has 4 equal sides and 4 right angles (90°).
Look at the options: e. Square matches this.

Answer for #1: e

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2. There is only one pair of parallel sides.

→ That’s the definition of a trapezoid.
Only one pair of opposite sides is parallel.
Option c. Trapezoid shows that shape.

Answer for #2: c

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3. Opposite sides are parallel and the same length. There are four right angles.

→ This is a rectangle.
Opposite sides equal and parallel, all angles 90°.
Option b. Rectangle fits.

Answer for #3: b

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4. There are two pairs of parallel sides. All sides are the same length.

→ Two pairs of parallel sides = parallelogram family.
All sides same length → that’s a rhombus.
Note: A rhombus doesn’t need right angles — just equal sides and parallel opposites.
Option d. Rhombus matches.

Answer for #4: d

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5. There are two pairs of opposite parallel sides.

→ This is the basic definition of a parallelogram.
It doesn’t say anything about side lengths or angles — just two pairs of parallel sides.
Option a. Parallelogram is correct.

Answer for #5: a

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6. List two ways a rectangle and square are alike and one way in which they are different.

Let’s think:

Alike:
- Both have 4 right angles.
- Both have two pairs of parallel sides.
*(You can pick any two of these — also both are quadrilaterals, both have opposite sides equal, etc.)*

Different:
- In a square, ALL four sides are equal. In a rectangle, only opposite sides are equal (length ≠ width usually).

So we can write:

> Alike:
> - Both have four right angles.
> - Both have two pairs of parallel sides.
> Different:
> - A square has all sides equal; a rectangle does not (only opposite sides are equal).

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Final Answer:

1. e
2. c
3. b
4. d
5. a
6. Alike: Both have four right angles and two pairs of parallel sides. Different: A square has all sides equal, but a rectangle only has opposite sides equal.
Parent Tip: Review the logic above to help your child master the concept of quadrilateral worksheets.
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